AP Pre-Calc FRQs

f is best modeled by a linear function

Over consecutive equal-length input-value intervals of size ___, there is a constant difference in output values of ___.

f is best modeled by a quadratic function

Over consecutive equal-length input-value intervals of size ___, there is a constant second difference in output values of ___.

f is best modeled by an exponential function

Input values change additively in intervals of size ____ as output values change proportionally by a factor of ___.

f is best modeled by a logarithmic function

Input values change proportionally by a factor of ___ as output values change additively in intervals of size ___.

A function f is invertible

Each output value of f is mapped from a unique input value. There are no repeated f(x) values.

A function f in not invertible

There are output values of f that are not mapped from unique input values. Because f(#) = #, the inverse function on this domain does not exist.

Concavity & Rate of Change (FRQ 3)

On the interval (t1, t2), the graph of f is concave ___ and the rate of change is ___.